We already know, based on Burress’ comments after he was released from prison, that he doesn’t have many — any? — warm-and-fuzzy feelings about Giants coach Tom Coughlin.

Set to hit the open market once the lockout is lifted and free agency begins, Burress will be shopping for a new team and he says the personality of the head coach is vital to where he goes next.

“Well, the head coach is going to be first and foremost,” Burress said on Sirius NFL Radio. “It’s going to be somebody to where, well, you know, he has an open door policy. I can walk in his office and sit down and talk to him whether it’s about football or life or whatever that may be.”

Clearly, Burress does not think he had that sort of relationship with Coughlin. The Giants are one of the few teams not on the wish-list for Burress, who caught the game-winning touchdown pass in Super Bowl XLII. The Giants have never really been the same since Burress accidentally shot himself in the thigh will an illegal handgun in November 2008, an incident that ended his Giants career and landed him in Oneida Correctional Facility in Rome, N.Y.

Burress left jail wearing a Phillies hat, raising speculation he wants to play for the Eagles. He hasn’t eliminated any teams, though he has never expressed much of an interest in returning to the Giants. Other than an understanding head coach, Burress also wants someone who can get him the ball.

“Then, of course, second, it’s going to be a quarterback,” Burress said. “I’m a wide receiver. I mean, that’s a no-brainer. I’m not going to sit here and say it’s not. . . . Some guys are just happy to go out, get a check, compete, and don’t care whether they win or lose. Well, I’m not that guy. I mean, I’m a winner. I love to win.

“You ask the guys that I’ve played with in New York or whether it was in Pittsburgh, there’s nothing more that I hate than losing. I hate to lose and I’m going to put myself into a situation and put myself into a piece of a puzzle where I’m going to make it complete.”